Deputy Police Commissioner Gerold Dompig refused to identify which of the three young men who took Natalee Holloway, 18, to a northern beach the night she went missing made the statement.
Although refusing to say whether they discovered anything overnight to solve the mystery of what happened to Holloway, officials acknowledged they are at "a very crucial" point in the investigation.
Police also have detained two other men--former security guards at a hotel near the one where Holloway was staying. No one has been charged in the case.
CBS News Correspondent Kelly Cobiellareports investigators met with Holloway's parents Friday night to brace them for news that would not be good. The family left the Holiday Inn where they've been staying visibly upset.
Natalee Holloway, 18, vanished on May 30 during a five-day trip to the Dutch Caribbean island with 124 classmates and seven chaperones celebrating their graduation from Mountain Brook High School, near Birmingham. Police found her U.S. passport and packed bags in her hotel room after she failed to show up for her return flight that day.
Prime Minister Nelson Oduber went on national radio Friday night to say if something happened to Holloway, it would hurt the island of 97,000, which depends on tourism and has a reputation as one of the safest spots in the Caribbean.
Back home in Mountain Brook, friends of Holloway and other young people gathered after midnight at a church where people have been holding prayer vigils for her. Some hugged and cried. One woman left a flickering candle at the base of a wall decorated with messages to Holloway.
Three men--two brothers from Suriname and 17-year-old Joran Van Der Sloot, the Dutch son of a high-ranking judicial official--were arrested Thursday. Two former hotel security guards were also being held in the case. None of the five has been charged.
The mother for the 17-year-old suspect told CBS News her son had nothing to do with it. Anita Van Der Sloot, said her son is a star student, a good athlete, with a wide circle of friends. She doesn't remember him talking about Natalee Holloway
A lawyer for one of the Surinamese-Satish Kalpoe, 18, and his brother Deepak, 21--said they told police they took Holloway to Arashi Beach, on the northern tip of the island, in the early hours of May 30.
According to their police statement, they didn't get out of the car, defense lawyer David Kock said. Instead, Holloway and the Dutch teen, an honors student at the Aruba International School whom she had met at the casino in her hotel, "were in the back seat kissing."
They also told police that they dropped Holloway at her Holiday Inn Hotel around 2 a.m. and last saw her being approached by a man in a security guard uniform before they drove off, Kock said.